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Finding the Fourth Proportional to 2,446.87, 3,376.70 and 1,327.81

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Solution

The fourth proportional to 2,446.87, 3,376.70 and 1,327.81 is: 1,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.87 : 3,376.70 = 1,327.81 : x
  2. Step 2: Convert to fraction form
    2,446.87/3,376.70 = 1,327.81/x
  3. Step 3: Cross multiply
    2,446.87x = 3,376.70 × 1,327.81
  4. Step 4: Simplify right side
    2,446.87x = 4,483,628.37
  5. Step 5: Solve for x
    x = 4,483,628.37/2,446.87
  6. Step 6: Final answer
    x = 1,832.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.